Multiple Experts Knowledge in Fuzzy Optimization of Logistic Networks

  • Juan Carlos Figueroa-García
  • Dusko Kalenatic
  • Cesar Amilcar López-Bello
Chapter
Part of the Intelligent Systems Reference Library book series (ISRL, volume 87)

Abstract

Uncertainty in logistic networks is commonly handled by probabilistic tools, but sometimes the required statistical information is not available, so the experts of the network take an important role in decision making without statistical information. Some soft computing techniques such as fuzzy sets are useful to represent the knowledge of the experts because they can be combined with optimization models to find a set of possible choices to be taken in different scenarios. In this chapter, we present an application of fuzzy optimization models and methods to a logistic network design problem using linguistic information coming from multiple experts.

Keywords

Membership Function Logistic Network Fuzzy Optimization Soft Computing Technique Linguistic Label 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Altiparmak, F., Gen, M., Lin, L., Paksoy, T.: A genetic algorithm approach for multiobjective optimization of supply chain networks. Comput. Ind. Eng. 51(1), 196–215 (2006)CrossRefGoogle Scholar
  2. Basirzadeh, H.: An approach for solving fuzzy transportation problem. Appl. Math. Sci. 5(32), 1549–1566 (2011)MATHMathSciNetGoogle Scholar
  3. Buckley, J.J., Jowers, L.J.: Fuzzy transportation problem. In: J. Kacprzyk, M. Fedrizzi (eds.) Monte Carlo Methods in Fuzzy Optimization. Springer, New York (1992)Google Scholar
  4. Chanas, S., Kolodziejczyk, W., Machaj, A.: A fuzzy approach to the transportation problem. Fuzzy Sets Syst. 13, 211–221 (1984)CrossRefMATHMathSciNetGoogle Scholar
  5. Chanas, S., Kuchta, D.: A concept of the optimal solution of the transportation problem with fuzzy cost coefficients. Fuzzy Sets Syst. 82, 299–305 (1996)CrossRefMathSciNetGoogle Scholar
  6. Chou, C.C., Yu, K.W.: Application of a new hybrid fuzzy AHP model to the location choice. Math. Probl. Eng. 2013(Article ID 592138), 12 (2013)Google Scholar
  7. Danzhu, W., Maoxiang, L.: Research on fuzzy demand-oriented logistics network optimization method for railway freight enterprises. Adv. Inf. Sci. Serv. Sci. 5(3), 182–191 (2013)Google Scholar
  8. Escobar, H.M.M.: Optimización No Lineal y Dinámica. Universidad Nacional de Colombia (2001)Google Scholar
  9. Figueroa, J.C.: Linear programming with interval type-2 fuzzy right hand side parameters. In: 2008 Annual Meeting of the IEEE North American Fuzzy Information Processing Society (NAFIPS) (2008)Google Scholar
  10. Figueroa-García, J.C.: Solving fuzzy linear programming problems with interval type-2 RHS. In: Conference on Systems, Man and Cybernetics, pp. 1–6. IEEE (2009)Google Scholar
  11. Figueroa-García, J.C.: Interval type-2 fuzzy linear programming: uncertain constraints. In: IEEE Symposium Series on Computational Intelligence, pp. 1–6. IEEE (2011)Google Scholar
  12. Figueroa-García, J.C., Chalco-Cano, Y., Román-Flores, H.: Distance measures for interval type-2 fuzzy numbers. Discrete Appl. Math. (To appear) (1) (2015)Google Scholar
  13. Figueroa-García, J.C., Hernández, G.: Computing optimal solutions of a linear programming problem with interval type-2 fuzzy constraints. Lect. Notes Comput. Sci. 7208, 567–576 (2012a)CrossRefGoogle Scholar
  14. Figueroa-García, J.C., Hernández, G.: A transportation model with interval type-2 fuzzy demands and supplies. Lect. Notes Comput. Sci. 7389(1), 610–617 (2012b)CrossRefGoogle Scholar
  15. Figueroa-García, J.C., Hernández, G.: Linear programming with interval type-2 fuzzy constraints. In: Ceberio, M., Kreinovich, V. (eds.) Constraint Programming and Decision Making, vol. 539, pp. 19–34. Springer, New York (2014a)Google Scholar
  16. Figueroa-García, J.C., Hernández, G.: A method for solving linear programming models with interval type-2 fuzzy constraints. Pesquisa Operacional 34(1), 73–89 (2014b)Google Scholar
  17. Figueroa-García, J.C., Kalenatic, D., Lopez-Bello, C.A.: Multi-period mixed production planning with uncertain demands: fuzzy and interval fuzzy sets approach. Fuzzy Sets Syst. 206, 21–38 (2012)CrossRefMATHGoogle Scholar
  18. Fischer, T., Gehring, H.: Planning vehicle transhipment in a seaport automobile terminal using a multi-agent system. Eur. J. Oper. Res. 166(3), 726–740 (2005)CrossRefMATHGoogle Scholar
  19. Gani, A.N., Razak, K.A.: Two stage fuzzy transportation problem. Eur. J. Oper. Res. 153, 661–674 (2004)CrossRefGoogle Scholar
  20. Gani, A.N., Samuel, A.E., Anuradha, D.: Simplex type algorithm for solving fuzzy transportation problem. Tamsui Oxford J. Inf. Math. Sci. 27(1), 89–98 (2011)Google Scholar
  21. Han, C., Damrongwongsiri, M.: Stochastic modeling of a two-echelon multiple sourcing supply chain system with genetic algorithm. J. Manuf. Technol. Manage. 16(1), 87–108 (2005)CrossRefGoogle Scholar
  22. Karnik, N.N., Mendel, J.M.: Operations on type-2 fuzzy sets. Fuzzy Sets Syst. 122, 327–348 (2001)CrossRefMATHMathSciNetGoogle Scholar
  23. Karnik, N.N., Mendel, J.M., Liang, Q.: Type-2 fuzzy logic systems. Fuzzy Sets Syst. 17(10), 643–658 (1999)CrossRefGoogle Scholar
  24. Klir, G.J., Folger, T.A.: Fuzzy Sets, Uncertainty and Information. Prentice Hall, Englewood Cliffs (1992)Google Scholar
  25. Klir, G.J., Yuan, B.: Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice Hall, Englewood Cliffs (1995)Google Scholar
  26. Ko, H., Ko, C., Kim, T.: A hybrid optimization/simulation approach for a distribution network design of 3PLS. Comput. Ind. Eng. 50(4), 440–449 (2006)CrossRefMathSciNetGoogle Scholar
  27. Ko, M., Tiwari, A., Mehnen, J.: A review of soft computing applications in supply chain management. Appl. Soft Comput. 10(3), 661–674 (2010)CrossRefGoogle Scholar
  28. Liang, Q., Mendel, J.M.: Interval type-2 fuzzy logic systems: theory and design. IEEE Trans. Fuzzy Syst. 8(5), 535–550 (2000)CrossRefGoogle Scholar
  29. Liu, S.T., Kao, C.: Solving fuzzy transportation problems based on extension principle. J. Phys. Sci. 10, 63–69 (2006)MATHGoogle Scholar
  30. Melgarejo, M.A.: A fast recursive method to compute the generalized centroid of an interval type-2 fuzzy set. In: Annual Meeting of the North American Fuzzy Information Processing Society (NAFIPS), pp. 190–194. IEEE (2007a)Google Scholar
  31. Melgarejo, M.A.: Implementing interval type-2 fuzzy processors. IEEE Comput. Intell. Mag. 2(1), 63–71 (2007b)Google Scholar
  32. Melgarejo, M.A., Peña, C.A., Sanchez, E.: A genetic-fuzzy system approach to control a model of the HIV infection dynamics. In: IEEE (ed.) 2006 International Conference on Fuzzy Systems, pp. 2323–2330. IEEE (2006)Google Scholar
  33. Mendel, J.M.: Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Prentice Hall, Englewood Cliffs (2001)Google Scholar
  34. Mendel, J.M.: Fuzzy sets for words: a new beginning. In: The IEEE International Conference on Fuzzy Systems, pp. 37–42 (2003a)Google Scholar
  35. Mendel, J.M.: Type-2 fuzzy sets: some questions and answers. IEEE coNNectionS. A publication of the IEEE Neural Netw. Soc. 1(8), 10–13 (2003b)Google Scholar
  36. Mendel, J.M., John, R.I.: Type-2 fuzzy sets made simple. IEEE Trans. Fuzzy Syst. 10(2), 117–127 (2002)CrossRefGoogle Scholar
  37. Mendel, J.M., John, R.I., Liu, F.: Interval type-2 fuzzy logic systems made simple. IEEE Trans. Fuzzy Syst. 14(6), 808–821 (2006)CrossRefGoogle Scholar
  38. Mendel, J.M., Liu, F.: Super-exponential convergence of the Karnik-Mendel algorithms for computing the centroid of an interval type-2 fuzzy set. IEEE Trans. Fuzzy Syst. 15(2), 309–320 (2007)CrossRefGoogle Scholar
  39. Mirakhorli, A.: Multi-objective optimization of reverse logistics network with fuzzy demand and return-product using an interactive fuzzy goal programming approach. In: 2010 40th International Conference on Computers and Industrial Engineering (CIE), pp. 1–6 (2010)Google Scholar
  40. Mirakhorli, A.: Fuzzy multi-objective optimization for closed loop logistics network design in bread-producing industries. Int. J. Adv. Manuf. Technol. 70(1), 349–362 (2014)CrossRefGoogle Scholar
  41. Moore, R.E., Kearfott, R.B., Cloud, M.J.: Introduction to Interval Analysis. SIAM, Philadelphia (2009)Google Scholar
  42. Pandian, P., Natarajan, G.: A new algorithm for finding a fuzzy optimal solution for fuzzy transportation problems. Appl. Math. Sci. 4, 79–90 (2010)MATHMathSciNetGoogle Scholar
  43. Qin, Z., Ji, X.: Logistics network design for product recovery in fuzzy environment. Eur. J. Oper. Res. 202(2), 479–490 (2010)CrossRefMATHGoogle Scholar
  44. Roghanian, E., Kamandanipour, K.: A fuzzy-random programming for integrated closed-loop logistics network design by using priority-based genetic algorithm. Int. J. Ind. Eng. Comput. 4(1), 139–154 (2013)Google Scholar
  45. Smirnov, A., Sheremetov, L., Chilov, N., Cortes, J.: Soft-computing technologies for configuration of cooperative supply chain. Appl. Soft Comput. 4(1), 87–107 (2004)CrossRefGoogle Scholar
  46. Tada, M.: An integer fuzzy transportation problem. Comput. Math Appl. 31(9), 71–87 (1996)CrossRefMATHMathSciNetGoogle Scholar
  47. Vahdani, B., Tavakkoli-Moghaddam, R., Jolai, F.: Reliable design of a logistics network under uncertainty: a fuzzy possibilistic-queuing model. Appl. Math. Model. 37(5), 3254–3268 (2013)CrossRefMathSciNetGoogle Scholar
  48. Xie, J., Dong, J.: Heuristic genetic algorithms for general capacitated lot-sizing problems. Comput. Math Appl. 44(1), 263–276 (2002)CrossRefMATHMathSciNetGoogle Scholar
  49. Zimmermann, H.J.: Fuzzy programming and linear programming with several objective functions. Fuzzy Sets Syst. 1(1), 45–55 (1978)CrossRefMATHGoogle Scholar
  50. Zimmermann, H.J., Fullér, R.: Fuzzy reasoning for solving fuzzy mathematical programming problems. Fuzzy Sets Syst. 60(1), 121–133 (1993)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Juan Carlos Figueroa-García
    • 1
  • Dusko Kalenatic
    • 2
  • Cesar Amilcar López-Bello
    • 1
  1. 1.Engineering DepartmentUniversidad Distrital Francisco José de CaldasBogotáColombia
  2. 2.Universidad de La SabanaChíaColombia

Personalised recommendations